Cremona's table of elliptic curves

2139 = 3 · 23 · 31

Class	r	Atkin-Lehner	Eigenvalues
2139a (2 curves)	1	3+ 23+ 31+	1 3+  0  0  0  6 -2 -4
Curve Equation t Generators 2139a1 [1,1,0,-30,-81] 2 [130:1423:1] 2139a2 [1,1,0,-495,-4452] 2 [1046:11309:8]
2139b (1 curve)	1	3+ 23+ 31+	1 3+  3  3 -3 -6 -2 -4
Curve Equation t Generators 2139b1 [1,1,0,-2761,44782] 1 [-22:320:1]
2139c (6 curves)	0	3- 23+ 31+	-1 3- -2  0 -4 -2  2 -4
Curve Equation t 2139c1 [1,0,0,-10829,432840] 4 2139c2 [1,0,0,-10834,432419] 8 2139c3 [1,0,0,-14479,115304] 4 2139c4 [1,0,0,-7269,722610] 4 2139c5 [1,0,0,-144214,-20979607] 2 2139c6 [1,0,0,56936,929435] 2
2139d (1 curve)	0	3- 23+ 31+	2 3-  1  0  2  4 -4  8
Curve Equation t 2139d1 [0,1,1,0,-7] 1
2139e (1 curve)	0	3- 23+ 31+	-2 3-  3  4 -2  0  4 -4
Curve Equation t 2139e1 [0,1,1,-2594,-51730] 1
2139f (2 curves)	1	3- 23+ 31-	1 3- -2  2  0 -2 -4  6
Curve Equation t Generators 2139f1 [1,0,1,28,29] 2 [3:10:1] 2139f2 [1,0,1,-127,215] 2 [-5:29:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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